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Finding the Fourth Proportional to 54,039.57, 74,574.32 and 31,384.13

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Solution

The fourth proportional to 54,039.57, 74,574.32 and 31,384.13 is: 43,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,039.57 : 74,574.32 = 31,384.13 : x
  2. Step 2: Convert to fraction form
    54,039.57/74,574.32 = 31,384.13/x
  3. Step 3: Cross multiply
    54,039.57x = 74,574.32 × 31,384.13
  4. Step 4: Simplify right side
    54,039.57x = 2,340,450,153.54
  5. Step 5: Solve for x
    x = 2,340,450,153.54/54,039.57
  6. Step 6: Final answer
    x = 43,309.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.